I want to understand sum of binomials better in terms of ideals such as binomial ideals, normal ideals and so by toric ideals. Examples about toric ideals contain $$\sum x^\alpha+\sum x^\beta\in\mathbb R$$ where $\alpha,\beta$ are multidegrees. I have a gut feeling that toric varieties and this Sparse elimination theory is crucial to understand features of $\sum x^\alpha+\sum x^\beta$ deeper such as its negativity and positivity conditions. By ideal-variety correspondence, I think this question is related to Reference request: toric geometry while vaguely on Finding generators of toric ideals. Sturmfels considers toric ideals in $\mathbb C$ and acknowledges the fact that Cox preassumes toric ideals to be normal while the work uses some other definition. So
Does there exist a "bible" reference work on definitions on binomial ideals, normal ideals and then to toric ideals?